Symplectic reduction, also known as Marsden-Weinstein reduction, is an important construction in Poisson geometry. Following N.P. Landsman [22], we propose a quantization of this procedure by means of M. Rieffel’s theory of induced representations. Here to an equivariant momentum map there corresponds an operator-valued rigged inner product. We define the operatoralgebraic notions that are involved in this construction, and give a number of examples. Acknowledgements: This report is mainly… CONTINUE READING